AP EAMCET · Maths · Straight Lines
If the reflection of a point \(\mathrm{A}(2,3)\) in X -axis is B ; reflection of B in the line \(x+y=0\) is C and the reflection of C in \(x-y=0\) is D then the point of intersection of the lines \(\mathrm{CD}, \mathrm{AB}\) is
- A \((3,-2)\)
- B \((0,1)\)
- C \((4,-3)\)
- D \((2,-1)\)
Answer & Solution
Correct Answer
(D) \((2,-1)\)
Step-by-step Solution
Detailed explanation
We know, reflection about X -axis of \((x, y)\) is \((x,-y)\) So, co-ordinates of B are \((2,-3)\) We know, reflection about line \(x+y=0\) of \((x, y)\) is \((-y,-x)\) So, co-ordinates of C are \((3,-2)\) We know, reflection about \(x-y=0\) of \((x, y)\) is \((y, x)\) So,…
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